In this paper, we derive the fundamental solution to the heat equation with a discontinuous diffusion coefficient in the free space, with an absorbing boundary, and with a reflecting boundary. We use the fundamental solu ...

This dissertation examines properties and representations of several isotropic Gaussian random fields in the unit ball in d-dimensional Euclidean space. First we consider Lévy's Brownian motion. We use an integral repr ...

As indicated by the title, this thesis generalizes the Main Inertia
Theorem of Ostrowski and Schneider [8]. The first three results
concern the formation of a polynomial function f(A, A*, H) so that
the existence of a ...

The generalized Hankel transforms are studied in the
first part of this thesis; these include the Watson transforms
as a special case. For the validity of the reciprocal
relations, a necessary and sufficient condition ...

By various experiments, it has been found that the response
of real materials to external forces is, in general,
nonlinear in character. In classical continuum mechanics,
the use of ordinary measures of strain have fo ...

Integral representations for the generalized measures of deformation
and deformation-rates have been obtained and suitable constitutive
equations using these measures have been developed for
viscoelastic materials, Th ...

An introduction to the generalized measures of deformation-
rates involving not only velocity gradients but also
acceleration gradients is given and constitutive equations
using these measures have been discussed. The ...

The topic of summability methods has been studied by many
although the name of G. H. Hardy and his classical work "Divergent
Series" is best known. Almost all of the early work was done using
single sequences or serie ...

Certain important concepts from the theory of Gibbs states are
first described in the simple setting of the finite volume case. With
the extension to the infinite volume case, Gibbs states are defined,
exhibiting two ...